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Finding the Fourth Proportional to 313,435.85, 470,186.57 and 103,090.19

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Solution

The fourth proportional to 313,435.85, 470,186.57 and 103,090.19 is: 154,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,435.85 : 470,186.57 = 103,090.19 : x
  2. Step 2: Convert to fraction form
    313,435.85/470,186.57 = 103,090.19/x
  3. Step 3: Cross multiply
    313,435.85x = 470,186.57 × 103,090.19
  4. Step 4: Simplify right side
    313,435.85x = 48,471,620,743.54
  5. Step 5: Solve for x
    x = 48,471,620,743.54/313,435.85
  6. Step 6: Final answer
    x = 154,646.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.